Pith Number

pith:7XMFDQ73

pith:2011:7XMFDQ73RLGP4TRNAE7E327G44

not attested not anchored not stored refs pending

The restricted isometry property meets nonlinear approximation with redundant frames

Morten Nielsen, R\'emi Gribonval (INRIA - IRISA)

arxiv:1102.5324 v1 · 2011-02-25 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XMFDQ73RLGP4TRNAE7E327G44}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:41:20.450411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd851c3fb8accfe4e2d013e4debe6e70b379a726b883777e5c6ae756a0af2cc

Aliases

arxiv: 1102.5324 · arxiv_version: 1102.5324v1 · doi: 10.48550/arxiv.1102.5324 · pith_short_12: 7XMFDQ73RLGP · pith_short_16: 7XMFDQ73RLGP4TRN · pith_short_8: 7XMFDQ73

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7XMFDQ73RLGP4TRNAE7E327G44 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fdd851c3fb8accfe4e2d013e4debe6e70b379a726b883777e5c6ae756a0af2cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43937edf4cb982da4dbbcfffc5ce9a49a8a69a6ef312acdab092dab22f8c1253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-25T20:17:39Z",
    "title_canon_sha256": "9f08750a6b10242729a5e75471ae574263706954ee6e3b1f15c4e5c64342b463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5324",
    "kind": "arxiv",
    "version": 1
  }
}